[PDF] Top 20 A Hilbert Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree −2
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A Hilbert Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree −2
... new Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree −2 involving some parameters and a best constant ... See full document
11
A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
... By using the way of real analysis and estimating the weight functions, we build a new Hilbert-type integral inequality in the whole plane with a non-homogeneous ... See full document
9
A new Hilbert type integral inequality in the whole plane with the non homogeneous kernel
... Proof. The way of proving of Theorem 4 is similar to Theorem 3. By the reverse Hölder ’ s inequality [9], we have the reverse of (10) and (14). It is easy to obtain the reverse of (13). In view of the reverses of ... See full document
11
An extended Hilbert’s integral inequality in the whole plane with parameters
... Hardy–Hilbert’s integral inequality, which with (1) is important in analysis and its applications ...general homogeneous kernel of degree –1 (see [1], Theorem ...a ... See full document
11
On a generalization of a Hilbert type integral inequality in the whole plane with a hypergeometric function
... Abstract By introducing some parameters, we establish a generalization of the Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree –2λ and the best c[r] ... See full document
8
The necessary and sufficient conditions for the existence of a kind of Hilbert type multiple integral inequality with the non homogeneous kernel and its applications
... At present, there are lots of research results on Hilbert-type single integral inequality (cf. [1–14]). But there are relatively few studies on Hilbert-type multiple ... See full document
12
On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form
... the kernel of (1.1) is homogeneous of degree ...negative degree homogeneous kernel of the parameterized Hilbert-type ... See full document
11
On a New Hilbert Type Intergral Inequality with the Intergral in Whole Plane
... Hilbert’s inequality with the homogeneous kernel of 0 order and the integral in whole ...equivalent inequality and the reverse forms are ... See full document
8
A more accurate half discrete Hilbert type inequality with a non homogeneous kernel
... By means of weight functions and the improved Euler-Maclaurin summation formula, a more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel and a best constant ... See full document
12
A multidimensional Hilbert type integral inequality
... multidimensional Hilbert-type integral inequality with multi-parameters and the best possible constant factor related to the gamma function is ... See full document
13
A more accurate half discrete reverse Hilbert type inequality with a non homogeneous kernel
... about integral and discrete Hilbert-type inequalities can be found in ...half-discrete Hilbert-type inequalities with the general non-homogeneous kernels, Hardy et ... See full document
13
Multidimensional Hilbert Type Inequalities with a Homogeneous Kernel
... → R, where k ≥ 2, with k being nonconjugate parameters. The techniques that will be used in the proofs are mainly based on classical real analysis, especially on the well-known H ¨older’s inequality and on ... See full document
12
A half discrete Hilbert type inequality with a homogeneous kernel and an extension
... half-discrete Hilbert-type inequalities with the non-homogeneous kernels, Hardy et ...half-discrete Hilbert ’ s inequality with the best constant factor B(l 1 , l 2 )(l, l 1 ... See full document
16
Hilbert type and Hardy type integral inequalities with operator expressions and the best constants in the whole plane
... the whole plane, as well as the corresponding operator expression, the equivalent form, and the reverse ...Hardy-type inequality with the best possible constant. 2 Some ... See full document
10
A survey on the study of Hilbert type inequalities
... of Hilbert-type operators with their norms and ...discrete Hilbert-type operators with the general homogeneous kernels of non- negative number degree and two pairs of conjugate ... See full document
29
On a multidimensional version of the Hilbert type inequality in the whole plane
... Hilbert-type inequalities with a general homogeneous kernel in the whole plane. We derive a pair of equivalent inequalities, and we also establish the conditions under which the ... See full document
9
An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
... Hardy–Hilbert–type inequality with a general homogeneous kernel and a best possible constant factor is given in Theorem ...this type of ... See full document
13
The Hilbert Type Integral Inequalities with a Homogeneous Kernel of Degree
... the Hilbert-type integral inequalities with a homogeneous kernel of −λ-degree and their reverse forms and equivalent forms hold, here the homogeneous kernels Kx, y can be ... See full document
12
A Hilbert type integral inequality in the whole plane related to the kernel of exponent function
... a Hilbert-type integral inequality in the whole plane related to the kernel of exponent function with intermediate ... See full document
14
A multiple Hilbert type integral inequality with a non homogeneous kernel
... By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral inequality with a non-homogeneous kernel is given. The operator expression ... See full document
12
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